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2228625 = 32537283
BaseRepresentation
bin1000100000000110010001
311012020002200
420200012101
51032304000
6115433413
724641310
oct10400621
94166080
102228625
111292443
128b5869
13600519
14420277
152e0500
hex220191

2228625 has 48 divisors (see below), whose sum is σ = 4607616. Its totient is φ = 1015200.

The previous prime is 2228591. The next prime is 2228657. The reversal of 2228625 is 5268222.

It is not a de Polignac number, because 2228625 - 29 = 2228113 is a prime.

It is a d-powerful number, because it can be written as 210 + 212 + 213 + 8 + 62 + 218 + 59 .

2228625 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7734 + ... + 8016.

It is an arithmetic number, because the mean of its divisors is an integer number (95992).

22228625 is an apocalyptic number.

2228625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2228625 is an abundant number, since it is smaller than the sum of its proper divisors (2378991).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2228625 is a wasteful number, since it uses less digits than its factorization.

2228625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2228625 is about 1492.8579972656. The cubic root of 2228625 is about 130.6207979998.

The spelling of 2228625 in words is "two million, two hundred twenty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 283 315 375 525 849 875 1125 1415 1575 1981 2547 2625 4245 5943 7075 7875 9905 12735 17829 21225 29715 35375 49525 63675 89145 106125 148575 247625 318375 445725 742875 2228625